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Finding the Fourth Proportional to 6,516, 8,993.70 and 3,723.12

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Solution

The fourth proportional to 6,516, 8,993.70 and 3,723.12 is: 5,138.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516 : 8,993.70 = 3,723.12 : x
  2. Step 2: Convert to fraction form
    6,516/8,993.70 = 3,723.12/x
  3. Step 3: Cross multiply
    6,516x = 8,993.70 × 3,723.12
  4. Step 4: Simplify right side
    6,516x = 33,484,624.34
  5. Step 5: Solve for x
    x = 33,484,624.34/6,516
  6. Step 6: Final answer
    x = 5,138.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.